Question

Compare the graph of `g(x) = (x-8)^2` with the graph of `f(x) = x^2` (the parent graph). How would you describe its transformation?

Answer 1

`g(x)` is `f(x)` shifted to the right by 8 units.

Explanation:

Given `y=f(x)`

When `y=f(x+a)` the function is shifted to the left by `a` units (`a>0`), or shifted to the right by `a` units (`a<0`)

`g(x)=(x-8)^2=>f(x-8)`

This results in `f(x)` being shifted to the right by 8 units.